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Finding the Fourth Proportional to 3,803.10, 5,700.68 and 1,462.46

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Solution

The fourth proportional to 3,803.10, 5,700.68 and 1,462.46 is: 2,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.10 : 5,700.68 = 1,462.46 : x
  2. Step 2: Convert to fraction form
    3,803.10/5,700.68 = 1,462.46/x
  3. Step 3: Cross multiply
    3,803.10x = 5,700.68 × 1,462.46
  4. Step 4: Simplify right side
    3,803.10x = 8,337,016.47
  5. Step 5: Solve for x
    x = 8,337,016.47/3,803.10
  6. Step 6: Final answer
    x = 2,192.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.